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Analysis of pulsating variable stars using the visibility graph algorithm.

Víctor Muñoz1, N Elizabeth Garcés1

  • 1Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile.

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PubMed
Summary
This summary is machine-generated.

Complex network analysis of pulsating variable stars reveals universal graph properties. Visibility graphs effectively distinguish stellar types, even with observational gaps, highlighting a new method for stellar variability studies.

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Area of Science:

  • Astronomy and Astrophysics
  • Complex Networks
  • Data Analysis

Background:

  • Pulsating variable stars are crucial for astrophysical research.
  • Analyzing stellar light curves can reveal complex patterns.
  • Traditional methods may not fully capture the dynamics of stellar variability.

Purpose of the Study:

  • To apply complex network theory to analyze pulsating variable star light curves.
  • To investigate the applicability of visibility graphs (VG) and horizontal visibility graphs (HVG) in stellar astronomy.
  • To determine if network metrics can differentiate between various types of pulsating stars.

Main Methods:

  • Constructing visibility graphs (VG) and horizontal visibility graphs (HVG) from light curves of Cepheids, δ Scuti, and RR Lyrae stars.
  • Calculating network metrics including degree distribution, average degree, clustering coefficient, and transitivity coefficient.
  • Assessing the impact of observational gaps on the network properties.

Main Results:

  • Visibility graphs exhibit power-law degree distributions, while HVGs show exponential distributions, indicating universal network features.
  • Specific network metrics effectively distinguish between different types of pulsating variable stars.
  • The presence of observation gaps in light curves did not significantly alter the network analysis results.

Conclusions:

  • The visibility graph approach provides a robust framework for analyzing stellar light curves.
  • This complex network method offers a universal technique for studying stellar variability.
  • Visibility graph analysis shows promise as a valuable tool for astrophysical research and classification of variable stars.